1 for much of the late 1970s and early 1980s, Fukui only defeated a non-Japanese opponent four times (Haroon Ismail, Bruce Kleege, Kim Warwick, Mike Estep, Mark Wooldridge, and Jon Levine) in compiling a career singles win-lose record of 10 wins, 26 losses for Grand Prix events.

In doubles, Fukui competed in one Grand Slam event main draw, the 1980 French Open.

He and partner Peter Holl defeated Jean Luc Cotard and Thierry Tulasne in the first round but lost their next match to Heinz Günthardt and Pavel Složil.

His best showing in the Grand Prix tourney was reaching the third round of the 1979 Tokyo Outdoor, partnering Davis Cup teammate Jun Kamiwazumi.

Domestically, Fukui was singles champion of the All Japan Tennis Championships a record 7 times (1977, 1978, 1979, 1981, 1983, 1985, and 1988).